Waves in a transversely isotropic poro-thermoelastic solid under inviscid fluid loadings

Abstract

The generalized theory of thermoelasticity with one relaxation time has been extended to formulate the mathematical model for a homogeneous transversely isotropic thermoelastic solid half-space containing voids under inviscid fluid loading. The governing equations of motion have been derived by taking into account the thermal effect, effects of voids, anisotropy, and inviscid liquid. The complex secular equation has been derived by employing appropriate conditions at the solid–liquid boundary and particular cases have also been investigated. The theoretical portion has revealed the existence of five waves in the poro-thermoelastic anisotropic material and one mechanical wave traveling in the inviscid fluid. The wave motion has been examined with the help of a frequency equation by employing a numerical iteration method using MATLAB software tools that give complete information regarding the wave characteristics. Anisotropy, voids, and liquid effects on various parameters of wave have been presented analytically and comparisons have been made by depicting the results graphically. The study is useful in ultrasonics, navigation, and offshore engineering.